For this case the area of the circle segment is given by:
A = (S '/ S) * (pi) * (r ^ 2)
Where,
S '/ S: relationship of arcs
r: radius of the circle
Substituting values:
A = (60/360) * (3.14) * ((12) ^ 2)
A = 75.36 cm ^ 2
Answer:
The area of the smaller segment of the circle determined by a 60 degree arc is:
A = 75.36 cm ^ 2